Graph of the complex exponential $e^z$ as a surface in $\mathbb{C}^2$, projected to three dimensions along a rotating axis
This program visualizes the graph of the complex exponential function f(z) = exp(z) as a surface in C^2 (four real dimensions), projected down to three dimensions along a time-varying axis. The surface is colored using domain coloring conventions, with hue encoding the argument of the output and saturation encoding the magnitude. The projection axis rotates over time so that no single direction is permanently obscured, giving a more complete picture of the four-dimensional graph.
Controls: Click and drag to orbit, scroll to zoom.
